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Finding the Third Proportional to 1,615,299.25 and 2,534,275.88

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Solution

The third proportional to 1,615,299.25 and 2,534,275.88 is: 3,976,077.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,615,299.25 : 2,534,275.88 = 2,534,275.88 : x
  2. Step 2: Convert to fraction form
    1,615,299.25/2,534,275.88 = 2,534,275.88/x
  3. Step 3: Cross multiply
    1,615,299.25x = 2,534,275.88 × 2,534,275.88
  4. Step 4: Simplify right side
    1,615,299.25x = 6,422,554,210,607.02
  5. Step 5: Solve for x
    x = 6,422,554,210,607.02/1,615,299.25
  6. Step 6: Final answer
    x = 3,976,077.01

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.